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belka [17]
3 years ago
10

Simplified the expression write your answer as a power

Mathematics
2 answers:
emmasim [6.3K]3 years ago
7 0

Answer:

2^8/3^8

Step-by-step explanation:

When multiplying powers with the same base, add the number in the exponent. For example, if you were multiplying 2^4 and 2^3, you would add 3 and 4 (3+4=7), and write your answer as 2^7. In this case, the bases being multiplied are both 2/3, so you can add 2 and 6 for a sum of 8 and put 8 as the exponent: (2/3)^8. The fully simplified expression is 2^8/3^8 because the exponent applies to both the numerator and the denominator.

its a lot but i hope this will help!! please lmk if i made a mistake

Stella [2.4K]3 years ago
4 0

Answer:

256/6561

Step-by-step explanation:

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Find the equation of the line between the points (10, – 5) and ( - 2,0).
Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{12} x-\frac{5}{6}  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, m  = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}

Thus, the slope of the line is -\frac{5}{12}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{12} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}

3 0
2 years ago
The mean for a data set is 60. The Z-score for
Vladimir [108]

Answer:

D. a = 60 and b = 58.8

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Z-score for data point a is 0.

This means that a is the mean, that is, a = 60.

The z-score for data point b is -0.4.

This means that b must be a value below the mean, that is, a value below 60.

The option that satisfies a = 60 and b < 60 is option D, which is the answer.

7 0
2 years ago
What is the distance between (-6,2) and (8,10) on a coordinate grid
r-ruslan [8.4K]

Answer: 14 right and 8 up, or (14, 8)

Step-by-step explanation:

To find the distance, you can subtract or add numbers.

So from (-6, 2) to 0, I have to move right 6 spaces to get (0, 2).

Then, I must move 8 to the right to get (8, 2).

From here, I continue to move up 8 since we want to get to (8,10). So in all, you should move 14 spaces to the right and 8 up (14, 8).

5 0
3 years ago
Help omg if so thank you.
Goshia [24]

Answer:

35

Step-by-step explanation:

49*5/7

=35

7 0
3 years ago
Read 2 more answers
N.
noname [10]

Answer:

287.1 inches of the canvas.

Step-by-step explanation:

To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.

29*33=957

Now set up your equation for solving for the area of the canvas that the rose covers.

x/957=30/100

We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.

Now cross multiply.

100x=28,710

Now divide both sides by 100.

x=287.1

The red rose covers 287.1 inches of the canvas.

6 0
3 years ago
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